Integral Transforms, Reproducing Kernels and Their Applications: 1st Edition (Hardback) book cover

Integral Transforms, Reproducing Kernels and Their Applications

1st Edition

By Saburou Saitoh

Chapman and Hall/CRC

296 pages

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Hardback: 9780582317581
pub: 1997-05-28
$185.00
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Description

The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

Table of Contents

Introduction

Reproducing Kernel Hilbert Spaces

Isometrical Identities and Inversion Formulas

Applications to the Approximation of Functions

Applications to Analytic Extension Formulas and Real Inversion Formulas for the Lapace Transform

Applications to Source Inverse Problems

Appendix 1: Applications to Representations of Inverse Functions

Appendix 2: Natural Norm Inequalities in Nonlinear Transforms

Appendix 3: Stability of Lipschitz Type in Determination of Initial Heat Distributions

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis